1.11 What is each student’s maximised expected utility? Who has the larger expected wealth? Who ends up with the larger wealth at the end of the summer?

Two students, Jim and Kim, are offered summer jobs managing a student house-painting business. There is a 50 per cent chance that either of them will be successful and end up with £21,000 of wealth to get them through the next college year.
But there is also a 50 per cent chance that either will end up with only £3,000 of wealth. Each could take a completely safe but back-breaking job picking fruit that would leave them with a guaranteed £9,000 at the end of the summer.
The table in the next column shows Jim’s and Kim’s utility of wealth schedules.

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Wealth 0 Jim's utility 0 Kim's utility 0 3,000 100 200 6,000 200 350 9,000 298 475 12,000 391 560 15,000 491 620 18,000 586 660 21,000 680 680